165165540 has 96 divisors (see below), whose sum is σ = 492791040. Its totient is φ = 41189376.

The previous prime is 165165529. The next prime is 165165541. The reversal of 165165540 is 45561561.

165165540 = T₃₂ + T₃₃ + ... + T₉₉₆.

165165540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165165541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196441 + ... + 197279.

It is an arithmetic number, because the mean of its divisors is an integer number (5133240).

Almost surely, 2^165165540 is an apocalyptic number.

165165540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165165540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246395520).

165165540 is an abundant number, since it is smaller than the sum of its proper divisors (327625500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165165540 is a wasteful number, since it uses less digits than its factorization.

165165540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 165165540 is about 12851.6745990552. The cubic root of 165165540 is about 548.6640191632.

The spelling of 165165540 in words is "one hundred sixty-five million, one hundred sixty-five thousand, five hundred forty".